• D. Atchuta Ramacharyulu
• T. Anup Kumar

Rectangular steel perforated sheets used in various engineering structures are subjected to uniaxial compressive loading, to find their critical buckling stress. Perforations of various shapes namely circle, ellipse, rectangle and diamond are considered in this study, aspect ratio of all these shapes are varied to study their effect on the critical buckling stress. The effect of the volume fraction (ϕ) of these perforations on the buckling behaviour of the considered plates is studied. Constructal theory[1] based analysis is carried out in this buckling analysis by way of non-dimensionalising all the geometric parameters, constraints and choosing the objective function as maximization of critical buckling load. The results of this study are expressed in terms of the variation of non-dimensionalised critical buckling stress (σcr,ND) as a function of volume fraction (ϕ), aspect ratio of perforation shape (H1,L1). Further these results are analysed to find the optimal values of volume fraction (ϕopt), aspect ratio [(H1, L1)opt] that maximises the non-dimensional critical buckling stress. Analytical expressions [2] for the buckling strength of plates without perforations exist but not for the ones with perforations. Also recently a study [3] has been performed to find the buckling behaviour of perforated plates with different shapes of perforations using constructal theory under the eigen buckling behaviour. Present study aims at studying the non-linear buckling behaviour of plates using constructal theory.

Perforated sheets, Critical buckling stress,Constructal theory, Non-linear buckling

"CONSTRUCTAL THEORY BASED ON NON-LINEAR STABILITY ANALYSIS OF THIN PERFORATED PLATES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 12, page no.1-8, December-2018, Available :http://www.jetir.org/papers/JETIR1812B01.pdf

"CONSTRUCTAL THEORY BASED ON NON-LINEAR STABILITY ANALYSIS OF THIN PERFORATED PLATES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 12, page no. pp1-8, December-2018, Available at : http://www.jetir.org/papers/JETIR1812B01.pdf